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Finding the Fourth Proportional to 6,769.29, 9,349.88 and 5,075.37

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Solution

The fourth proportional to 6,769.29, 9,349.88 and 5,075.37 is: 7,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.29 : 9,349.88 = 5,075.37 : x
  2. Step 2: Convert to fraction form
    6,769.29/9,349.88 = 5,075.37/x
  3. Step 3: Cross multiply
    6,769.29x = 9,349.88 × 5,075.37
  4. Step 4: Simplify right side
    6,769.29x = 47,454,075.08
  5. Step 5: Solve for x
    x = 47,454,075.08/6,769.29
  6. Step 6: Final answer
    x = 7,010.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.